Practice problems of the area of a shape - page 35 of 106
The area is the quantity that expresses the extent of a two-dimensional shape. The area can be understood as the amount of paint necessary to cover the surface with a single coat. The area of a shape can be measured by comparing the shape to squares of a fixed size 1 m2 or 1 cm2 etc. Every unit of length has a corresponding unit of area. We can measure areas in square meters (m2), square centimeters (cm2), square millimeters (mm2), square kilometers (km2), square feet (ft2), square yards (yd2), square miles (mi2), and so forth.The area of a shape is the “space enclosed within the perimeter or the boundary” of the given shape.
Number of problems found: 2101
- Circumference 9211
The rectangle has a circumference of 30 cm, and its width is 3 cm shorter than its length. What is its area? - Calculate: 6679
In the right triangle ABC, we know the right angle γ, the area S = 48 cm2, and the side a = 8 cm. Calculate: pages b, c - Diameter 6041
We baked a cake with a diameter of 26 cm. We watered it with icing. The dog licked 45% of the icing. What area did we have left? - Occupies 5461
What is the land area in reality if 1 cm² occupies on a 1:20000 scale map? - Circumference 4421
The area of an equilateral triangle is 81 times three below the square root of cm². Calculate its circumference. - Percentage 3980
Calculate the percentage of waste when we cut out 4 of the largest possible circles from a square sheet with sides of 1 meter. - Determine 3779
Determine the perimeter of the rectangle if its length and width are 2:1 and the area is 98 cm². - Inner-circle 2902
The student should remove the inner circle with a radius of 3 cm from the circle with a radius of 7 cm. How much of the area of the large circle will be removed? Express result in percent. - Joey had
Joey had 70% of his money in a savings account. The rest of his money was in a cheque account. (a). What percentage of his money was in his cheque account? (b). He had $240 in his cheque account. How much money did he have in his savings account? - Nikelin and brass
Calculate the length of brass wire (ró=0.08 microohm m) and nickel (ró=0.4 microohm m) with a diameter of 0.5 mm, which has a resistance of 1 ohm - Rafael
Rafael has three squares. The first square has a side length of 2 cm. The second square has a side length of 4 cm, and its vertex is placed in the center of the first square. The last square has a side length of 6 cm, and its vertex is placed in the cente - Jewelry box
The bottom of Zeyda's jewelry box is a rectangle with a length of 5 3/8 inches and a width of 3 1/4 inches. What is the area at the bottom of the jewelry box? - Ratio of triangles areas
In an equilateral triangle ABC, the point T is its center of gravity, the point R is the image of the point T in axial symmetry along the line AB, and the point N is the image of the point T in axial symmetry along the line BC. Find the ratio of the areas - In the
In the rectangle ABCD, the distance of its center from line AB is 3 cm greater than from line BC. The circumference of the rectangle is 52 cm. Calculate the area of the rectangle. Express the result in cm². - An equilateral
An equilateral triangle is inscribed in a square of side 1 unit long so that it has one common vertex with the square. What is the area of the inscribed triangle? - Rectangular garden
The perimeter of Peter's rectangular garden is 98 meters. The width of the garden is 60% shorter than its length. Find the dimensions of the rectangular garden in meters. Find the garden area in square meters. - Rectangle field
The field has a shape of a rectangle, having a length of 119 m and a width of 19 m. , How many meters have to shorten its length and increase its width to maintain its area and circumference increased by 24 m? - Decorative fence
The rectangular garden is 57 m long and 42 m wide. Calculate how much m² it will reduce if it is enclosed with a 60 cm wide decorative fence. - KLMN trapezoid
The KLMN trapezoid has bases KL 40cm and MN 16cm. On the KL base is point P. The segment NP divides the trapezoid into units with the same area. What is the distance of point P from point K? - Square metal sheet
We cut out four squares of 300 mm side from a square sheet metal plate with a side of 0,7 m. Express the fraction and the percentage of waste from the square metal sheet.
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